DistPearson6

class pydsol.core.distributions.DistPearson6(stream: StreamInterface, alpha1: float, alpha2: float, beta: float)[source]

Bases: DistContinuous

The Pearson6 distribution with two shape parameters alpha1 and aplha2, and a scale parameter beta. For more information on this distribution see https://mathworld.wolfram.com/Pearson6Distribution.html.

__init__(stream: StreamInterface, alpha1: float, alpha2: float, beta: float)[source]

Construct a new Pearson6 distribution with two shape parameters alpha1 and aplha2, and a scale parameter beta.

Parameters:

  • stream (StreamInterface) – the random stream to use for this distribution

  • alpha1 (float) – the first shape parameter of the Pearson6 distribution

  • alpha2 (float) – the second shape parameter of the Pearson6 distribution

  • beta (float) – the scale parameter of the Pearson6 distribution

Raises:

  • TypeError – when stream is not implementing StreamInterface:

  • TypeError – when alpha1 is not a float or int:

  • TypeError – when alpha2 is not a float or int:

  • TypeError – when beta is not a float or int:

  • ValueError – when alpha1 <= 0 or alpha2 <= 0 or beta <= 0:

draw() → float[source]

Draw a value from the Pearson6 distribution. Based on the algorithm in Law & Kelton, Simulation Modeling and Analysis, 1991, p. 494. But since dist1 and dist2 are both scaled by beta, the result is beta/beta = 1, without the scale parameter. So, in contrast with Law & Kelton and Banks (2000), a multiplication with beta is added.

probability_density(x: float) → float[source]

Returns the probability density value for value x.

property alpha1: float

Return the parameter value alpha1

property alpha2: float

Return the parameter value alpha2

property beta: int

Return the parameter value beta

property stream: StreamInterface

Return the current random stream for this distribution.